In estimating the population mean $\mu$ when the population size N is small,the confidence interval estimator of $\mu$ is $\bar { x } \pm t _ { a / 2 } \cdot \frac { s } { \sqrt { n } } \sqrt { \frac { N - n } { N - 1 } }$ .

Question

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When the population size N is small, a finite population correction factor is applied to the standard error in the confidence interval formula to account for the reduced variability.

In Estimating the Population Mean μ\muμ When the Population Size N Is Small,the Confidence Interval Estimator

In Estimating the Population Mean $\mu$ When the Population Size N Is Small,the Confidence Interval Estimator